287670249801 has 27 divisors (see below), whose sum is σ = 456760758727. Its totient is φ = 174334878960.

The previous prime is 287670249767. The next prime is 287670249847. The reversal of 287670249801 is 108942076782.

It is a happy number.

The square root of 287670249801 is 536349.

It is a perfect power (a square), and thus also a powerful number.

287670249801 is a `hidden beast` number, since 2 + 87 + 6 + 70 + 2 + 498 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 198911540025 + 88758709776 = 445995^2 + 297924^2 .

It is not a de Polignac number, because 287670249801 - 2¹³ = 287670241609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (287670249901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17691391 + ... + 17707643.

Almost surely, 2^287670249801 is an apocalyptic number.

287670249801 is the 536349-th square number.

287670249801 is the 268175-th centered octagonal number.

It is an amenable number.

287670249801 is a deficient number, since it is larger than the sum of its proper divisors (169090508926).

287670249801 is an frugal number, since it uses more digits than its factorization.

287670249801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32534 (or 16267 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 287670249801 in words is "two hundred eighty-seven billion, six hundred seventy million, two hundred forty-nine thousand, eight hundred one".